Overview
- Presents rigorous proofs of the fundamental properties of entropy-like quantities in a self-contained manner
- Gives a unified view of different formulations of modern thermodynamics—stochastic thermodynamics and resource theory
- Argues coherently the mathematical (information-theoretic) and physical aspects of out-of-equilibrium thermodynamics
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 16)
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Table of contents (8 chapters)
Keywords
About this book
The book focuses on both purely information-theoretic concepts and their physical implications. From the mathematical point of view, rigorous proofs of fundamental properties of entropies, divergences, and majorization are presented in a self-contained manner. From the physics perspective, modern formulations of thermodynamics are discussed, with a focus on stochastic thermodynamics and resource theory of thermodynamics. In particular, resource theory is a recently developed field as a branch of quantum information theory to quantify “useful resources” and has an intrinsic connection to various fundamental ideas of mathematics and information theory. This book serves as a concise introduction to important ingredients of the information-theoretic formulation of thermodynamics.
Reviews
“The book has three appendices on quantum divergences and their monotonicity, hypothesis testing and asymptotic equipartition properties. A large number of references are cited at the end of the book. The book presents wealth of theoretical information on quantum information theory. … The book may be used as a reference for the researchers in quantum information theory.” (K. N. Shukla, zbMATH 1505.80001, 2023)
Authors and Affiliations
Bibliographic Information
Book Title: Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
Authors: Takahiro Sagawa
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-981-16-6644-5
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Softcover ISBN: 978-981-16-6643-8Published: 23 March 2022
eBook ISBN: 978-981-16-6644-5Published: 23 March 2022
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: X, 149
Number of Illustrations: 11 b/w illustrations
Topics: Mathematical Physics, Quantum Information Technology, Spintronics, Quantum Physics, Complex Systems, Statistical Physics and Dynamical Systems